The Following Data Are Drawn from Three Normal Populations Set Up the ANOVA Table and Test at the 5

question 80

Essay

The following data are drawn from three normal populations. $$\begin{array} { | c | c | c | } \hline \mathrm { A } & \mathrm { B } & \mathrm { C } \\\hline 5 & 8 & 16 \\\hline 16 & 13 & 5 \\\hline 13 & 12 & 10 \\\hline 14 & 15 & 13 \\\hline 10 & 23 & \\\hline & 11 & \\\hline\end{array}$$ Set up the ANOVA table and test at the 5% level of significance to determine whether differences exist among the population means. Assume that the random variable is normally distributed.

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Definitions:

Sum Of Squares

A statistical technique used to measure the variation or deviation of a set of values from the mean of those values.

Multiple Regression

A statistical technique that models and analyzes the relationship between a single dependent variable and two or more independent variables.

Coefficient Of Determination

A statistical measure that quantifies the proportion of the variance in the dependent variable predictable from the independent variable(s).

Unadjusted

Describes raw or original data that has not been modified or corrected for factors that may affect interpretation, often used in the context of financial or statistical data.